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Find the product. Simplify your answer. $\newline$ $2a(-a^2 + 1)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

2a(-a^2 + 1)

Distribute $2a$ : Distribute $2a$ to both terms inside the parentheses. $\newline$ $2a(-a^2 + 1) = 2a(-a^2) + 2a(1)$
Simplify $-2a^3$ : Simplify $2a(-a^2)$ . $\newline$ $2a(-a^2) = -2a^3$
Simplify $2a$ : Simplify $2a(1)$ . $\newline$ $2a(1) = 2a$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-2a^3 + 2a$

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